Black Hole Fun - Exploring Kaprekar's Constant

A close call on the Math Club holodeck sends Pete and Noah down a wormhole investigating Kaprekar's Constant. Beam aboard as we explore strange new algorithms and boldly discover what happens when numbers are put through this interesting iterative process.

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What is Kaprekar's constant and how does the Kaprekar process work for four-digit numbers? What is the maximum number of steps required for any valid four-digit number to reach Kaprekar's constant?